4(x-1)(x-1)-(4x+3)(x-2)=-2

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Solution for 4(x-1)(x-1)-(4x+3)(x-2)=-2 equation: 


Simplifying
4(x + -1)(x + -1) + -1(4x + 3)(x + -2) = -2

Reorder the terms:
4(-1 + x)(x + -1) + -1(4x + 3)(x + -2) = -2

Reorder the terms:
4(-1 + x)(-1 + x) + -1(4x + 3)(x + -2) = -2

Multiply (-1 + x) * (-1 + x)
4(-1(-1 + x) + x(-1 + x)) + -1(4x + 3)(x + -2) = -2
4((-1 * -1 + x * -1) + x(-1 + x)) + -1(4x + 3)(x + -2) = -2
4((1 + -1x) + x(-1 + x)) + -1(4x + 3)(x + -2) = -2
4(1 + -1x + (-1 * x + x * x)) + -1(4x + 3)(x + -2) = -2
4(1 + -1x + (-1x + x2)) + -1(4x + 3)(x + -2) = -2

Combine like terms: -1x + -1x = -2x
4(1 + -2x + x2) + -1(4x + 3)(x + -2) = -2
(1 * 4 + -2x * 4 + x2 * 4) + -1(4x + 3)(x + -2) = -2
(4 + -8x + 4x2) + -1(4x + 3)(x + -2) = -2

Reorder the terms:
4 + -8x + 4x2 + -1(3 + 4x)(x + -2) = -2

Reorder the terms:
4 + -8x + 4x2 + -1(3 + 4x)(-2 + x) = -2

Multiply (3 + 4x) * (-2 + x)
4 + -8x + 4x2 + -1(3(-2 + x) + 4x * (-2 + x)) = -2
4 + -8x + 4x2 + -1((-2 * 3 + x * 3) + 4x * (-2 + x)) = -2
4 + -8x + 4x2 + -1((-6 + 3x) + 4x * (-2 + x)) = -2
4 + -8x + 4x2 + -1(-6 + 3x + (-2 * 4x + x * 4x)) = -2
4 + -8x + 4x2 + -1(-6 + 3x + (-8x + 4x2)) = -2

Combine like terms: 3x + -8x = -5x
4 + -8x + 4x2 + -1(-6 + -5x + 4x2) = -2
4 + -8x + 4x2 + (-6 * -1 + -5x * -1 + 4x2 * -1) = -2
4 + -8x + 4x2 + (6 + 5x + -4x2) = -2

Reorder the terms:
4 + 6 + -8x + 5x + 4x2 + -4x2 = -2

Combine like terms: 4 + 6 = 10
10 + -8x + 5x + 4x2 + -4x2 = -2

Combine like terms: -8x + 5x = -3x
10 + -3x + 4x2 + -4x2 = -2

Combine like terms: 4x2 + -4x2 = 0
10 + -3x + 0 = -2
10 + -3x = -2

Solving
10 + -3x = -2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10' to each side of the equation.
10 + -10 + -3x = -2 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = -2 + -10
-3x = -2 + -10

Combine like terms: -2 + -10 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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